Thursday, April 19, 2012

Blog #2 4/20/12

    Anne Isabella Milbanke was born in 1790 in England. She is most remembered as Lady Byron, as she married a famous lord and poet George Gordon Byron. Milbanke was privately taught by tutors and found a great passion for mathematics, this would later give her the nickname "princess of parallelograms" from Byron. Unfortunatley, Byron and Milbanke seperated the January of 1816, a month after their only child Ada Agusta Byron was born. Milbanke would later tutor Ada strictly in mathematics which would lead to Ada's successful notes on Analytical Engines.

Wednesday, April 18, 2012

Blog #1 4/18/12



   I believe that the formula applies to all rectangles, squares, and parallelograms because they all have similar properties (two pairs of parallel sides, oppisite angles are congruent, etc.) So if all the properties are the same, then the formula is the same for all.
   When I looked it up on google, I found that the approximate length for Tennessee was about 400 miles and the width was 120 miles. Using the area formula for parallelograms I found that Tennessee's area is about 48,000 miles.
   Tennessee's area is about 42,181 square miles.

Monday, April 9, 2012

First geometry post

    In chapter 10 we have learned all about circles. We first went over circumfrance and the basic parts of the circle (radius, diameter, chord etc.).  Next we learned about central angles, which start at the midpoint of the circle and continue out in an angle. The central angle is the same as the arc it is across from. The inscribed angle meets at the circle, the angle is half the arc it is across from. We learned about about tangents or lines perpendicular to the circles diameter. The tangent meets the circle at 90 degree angle, to verify the line is tangent you can draw a triangle and use the pythagorean thereom. We learned today about secants that can cross in a circle, connect with a tangent inside and out of the circle, or can make an angle outside the circle. You can use the thereoms 10.12, 10.13, or 10.14 to find the missing angles.
     Architects could use these concepts in their careers to help them build different structures.
      At the moment I do not have any questions on chapter 10.